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P\"oschl-Teller-driven solutions for quantum mechanical fluctuations aretriggered off by single scalar field theories obtained through a systematicperturbative procedure for generating deformed defects. The analyticalproperties concerning the quantum fluctuations in one-dimension, zero-modestates, first- and second- excited states, and energy density profiles are allobtained from deformed topological and non-topological structures supported byreal scalar fields. Results are firstly derived from an integrated $\lambda\phi^4$ theory, with corresponding generalizations applied to starting $\lambda\chi^4$ and {\em sine}-Gordon theories. By focusing our calculations onstructures supported by the $\lambda\phi^4$ theory, the outcome of our studysuggests an exact quantitative correspondence to P\"oschl-Teller-drivensystems. Embedded into the perturbative quantum mechanics framework, such acorrespondence turns into a helpful tool for computing excited states andcontinuous mode solutions, as well as their associated energy spectrum, forquantum fluctuations of perturbatively deformed structures. Perturbativedeformations create distinct physical scenarios in the context of exactlysolvable quantum systems and may also work as an analytical support fordescribing novel braneworld universes embedded into a $5$-dimensional gravitybulks.

Perturbatively deformed defects in P\"oschl-Teller-driven scenarios for quantum mechanics